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Finding the Fourth Proportional to 683.95, 942.74 and 462.82

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Solution

The fourth proportional to 683.95, 942.74 and 462.82 is: 637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.95 : 942.74 = 462.82 : x
  2. Step 2: Convert to fraction form
    683.95/942.74 = 462.82/x
  3. Step 3: Cross multiply
    683.95x = 942.74 × 462.82
  4. Step 4: Simplify right side
    683.95x = 436,315.37
  5. Step 5: Solve for x
    x = 436,315.37/683.95
  6. Step 6: Final answer
    x = 637.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.